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Finding the Fourth Proportional to 717.16, 989.64 and 422.41

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Solution

The fourth proportional to 717.16, 989.64 and 422.41 is: 582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.16 : 989.64 = 422.41 : x
  2. Step 2: Convert to fraction form
    717.16/989.64 = 422.41/x
  3. Step 3: Cross multiply
    717.16x = 989.64 × 422.41
  4. Step 4: Simplify right side
    717.16x = 418,033.83
  5. Step 5: Solve for x
    x = 418,033.83/717.16
  6. Step 6: Final answer
    x = 582.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.